On Villani's conjecture concerning entropy production for the Kac
Master equation

Einav, Amit

Abstract

In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially proves that Villani's conjecture is correct, or more precisely that a much worse bound to the entropy production is impossible in the general case.

Citation

Master equation. Kinetic and Related Models, 4(2), 479-497. https://doi.org/10.3934/krm.2011.4.479

• Journal Article Type: Article
• Acceptance Date: Feb 1, 2011
• Publication Date: 2011-06
• Deposit Date: Nov 16, 2020
• Journal: Kinetic & Related Models
• Print ISSN: 1937-5093
• Publisher: American Institute of Mathematical Sciences (AIMS)
• Volume: 4
• Issue: 2
• Pages: 479-497
• DOI: https://doi.org/10.3934/krm.2011.4.479
• Public URL: https://durham-repository.worktribe.com/output/1285747